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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 594 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.A clock shows 2:17. What time will it show 116 minutes later? (a) 4:23 (b) 4:13 (c) 5:13 (d) 4:03
  2. 2.A clock shows 6:22. What time will it show 48 minutes later? (a) 8:10 (b) 7:10 (c) 7:00 (d) 7:20
  3. 3.A clock shows 11:33. What time will it show 20 minutes later? (a) 11:53 (b) 11:43 (c) 12:53 (d) 12:03
  4. 4.How many degrees does the hour hand of a clock turn in 21 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
  6. 6.A clock shows 11:34. What time will it show 22 minutes later? (a) 11:46 (b) 12:06 (c) 11:56 (d) 12:56
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:10? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 159 minutes? =
  11. 11.A clock shows 4:24. What time will it show 47 minutes later? (a) 6:11 (b) 5:01 (c) 5:21 (d) 5:11
  12. 12.How many degrees does the hour hand of a clock turn in 23 minutes? =
  13. 13.A clock shows 4:31. What time will it show 95 minutes later? (a) 7:06 (b) 5:56 (c) 6:16 (d) 6:06
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 60 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 125 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 57 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  21. 21.A clock shows 2:14. What time will it show 72 minutes later? (a) 3:16 (b) 4:26 (c) 3:26 (d) 3:36
  22. 22.How many degrees does the minute hand of a clock turn in 52 minutes? =
  23. 23.A clock shows 1:38. What time will it show 77 minutes later? (a) 2:55 (b) 3:05 (c) 3:55 (d) 2:45
  24. 24.How many degrees does the hour hand of a clock turn in 56 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 170 minutes? =
  27. 27.A clock shows 2:39. What time will it show 164 minutes later? (a) 6:23 (b) 5:23 (c) 5:33 (d) 5:13
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 51 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 178 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  32. 32.A clock shows 4:57. What time will it show 155 minutes later? (a) 7:22 (b) 7:32 (c) 7:42 (d) 8:32
  33. 33.How many degrees does the minute hand of a clock turn in 42 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 26 minutes? =
  35. 35.A clock shows 10:42. What time will it show 59 minutes later? (a) 12:41 (b) 11:51 (c) 11:41 (d) 11:31
  36. 36.How many degrees does the minute hand of a clock turn in 4 minutes? =
  37. 37.A clock shows 7:10. What time will it show 76 minutes later? (a) 8:36 (b) 8:16 (c) 8:26 (d) 9:26
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  39. 39.A clock shows 11:11. What time will it show 121 minutes later? (a) 1:02 (b) 1:22 (c) 2:12 (d) 1:12
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =

Answer key

  1. 4:13
  2. 7:10
  3. 11:53
  4. 10.5
  5. 180
  6. 11:56
  7. 116
  8. 148.5
  9. 155
  10. 79.5
  11. 5:11
  12. 11.5
  13. 6:06
  14. 15
  15. 98.5
  16. 30
  17. 62.5
  18. 342
  19. 83
  20. 76.5
  21. 3:26
  22. 312
  23. 2:55
  24. 28
  25. 119.5
  26. 85
  27. 5:23
  28. 59
  29. 306
  30. 89
  31. 171.5
  32. 7:32
  33. 252
  34. 156
  35. 11:41
  36. 24
  37. 8:26
  38. 67.5
  39. 1:12
  40. 79

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